Understand the concepts of uniform flow + doublet and vortex flow combination and derive the expression for stream function and potential function

By studying the superposition of these basic flow patterns, we develop analytical tools to predict pressure distribution and velocity fields around simple shapes like cylinders. This knowledge is a stepping stone to more complex flow analysis methods. 

The flow over a lifting cylinder directly relates to the flow around airfoils, the wing-shaped structures on airplanes. Understanding how circulation is introduced around a lifting cylinder through vortex shedding helps us grasp the fundamental principle of lift generation. 

Analyze the flow pattern around a cylinder using the superposition of uniform flow, doublet, and vortex.

Explain how circulation is introduced in the flow over a lifting cylinder and its role in lift generation.